Modeling neural oscillations

Physiology and Behavior

Volumn 77, Issue 4-5, 2002, Pages 629-633

  Ermentrout, G Bard ^a   Chow, Carson C ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Mathematical models; Neural oscillators; Synchronization

Indexed keywords

ARTICLE; BEHAVIOR; BRAIN FUNCTION; HUMAN; LOCOMOTION; MATHEMATICAL ANALYSIS; MEMBRANE POTENTIAL; MODEL; NERVE CELL; NERVE CELL NETWORK; OSCILLATION; PHENOMENOLOGY; PRIORITY JOURNAL; TIME;

EID: 0036950547     PISSN: 00319384     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9384(02)00898-3     Document Type: Article

References (28)

1. Singer W. Synchronization of cortical activity and its putative role in information processing and learning. Ann. Rev. Physiol. 55:1993;349-374.
2. Gray C.M. Synchronous oscillations in neuronal systems: mechanisms and functions. J. Comput. Neurosci. 1:1994;11-38.
3. Stopfer M., Bhagavan S., Smith B.H., Laurent G. Impaired odour discrimination on desynchronization of odour-encoding neural assemblies. Nature. 390:1997;70-74.
4. Ermentrout G.B., Kleinfeld D. Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role. Neuron. 29:2001;33-44.
5. Pinsky P.F., Rinzel J. Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J. Comput. Neurosci. 1:1994;39-60.
6. Kim U., Bal T., McCormick D.A. Spindle waves are propagating synchronized oscillations in the ferret LGNd in vitro. J. Neurophysiol. 74(3):1995;1301-1323.
7. Rinzel J., Ermentrout B. Analysis of neural excitability and oscillations. Koch C., Segev I. Methods in Neuronal Modeling: from synapses to networks. 2nd ed. 1998;MIT Press, Cambridge, MA. Chap. 7.
8. Hodgkin A.L. The local changes associated with repetitive action in a non-medulated axon. J. Physiol. (Lond.). 107:1948;165-181.
9. Ermentrout G.B., Kopell N. Parabolic bursting in an excitable system coupled with a slow oscillation. SIAM J. Appl. Math. 46:1986;233-253.
10. Cohen A.H., Ermentrout G.B., Kiemel T., Kopell N., Sigvardt K.A., Williams T.L. Modelling of intersegmental coordination in the lamprey central pattern generator for locomotion. Trends Neurosci. 15:1992;434-438.
11. Haken H., Kelso J.A., Bunz H. A theoretical model of phase transitions in human hand movements. Biol. Cybern. 51:1985;347-356.
12. Van Vreeswijk C., Abbott L., Ermentrout B. When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1:1994;313-321.
13. Chow C.C., White J.A., Ritt J., Kopell N. Frequency control in synchronized networks of inhibitory neurons. J. Comput. Neurosci. 5:1998;407-420.
14. Chow C.C. Phase-locking in weakly heterogeneous neuronal networks. Physica D. 118:1998;343-370.
15. White J.A., Chow C.C., Ritt J., Soto-Trevino C., Kopell N. Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comp. Neurosci. 5:1998;5-16.
16. Ermentrout G.B. Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators. SIAM J. Appl. Math. 52:1992;1665-1687.
17. Ermentrout G.B., Flores J., Gelperin A. Minimal model of oscillations and waves in the Limax olfactory lobe with tests of the model's predictive power. J. Neurophysiol. 79:1998;2677-2689.
18. Skinner F.K., Wu C., Zhang L. Phase-coupled oscillator models can predict hippocampal inhibitory synaptic connections. Eur. J. Neurosci. 13:2001;2183-2194.
19. Traub R.D., Whittington M.A., Stanford I.M., Jefferys J.G. A mechanism for generation of long-range synchronous fast oscillations in the cortex. Nature. 383:1996;621-624.
20. Traub R.D., Jefferys J.G., Whittington M.A. Simulation of gamma rhythms in networks of interneurons and pyramidal cells. J. Comput. Neurosci. 4:1997;141-150.
21. Ermentrout G.B., Kopell N. Fine structure of neural spiking and synchronization in the presence of conduction delays. Proc. Natl. Acad. Sci. USA. 95:1998;1259-1264.
22. Kopell N., Ermentrout G.B., Whittington M.A., Traub R.D. Gamma rhythms and beta rhythms have different synchronization properties. Proc. Natl. Acad. Sci. USA. 97:2000;1867-1872.
23. Fuchs E.C., Doheny H., Faulkner H., Caputi A., Traub R.D., Bibbig A.et al. Genetically altered AMPA-type glutamate receptor kinetics in interneurons disrupt long-range synchrony of gamma oscillation. Proc. Natl. Acad. Sci. USA. 98:2001;3571-3576.
24. Hansel D., Mato G., Meunier G. Synchrony in excitatory neural networks. Neural Comp. 7:1995;307-337.
25. Gerstner W., van Hemmen J.L., Cowan J. What matters in neuronal locking? Neural Comp. 8:1996;1653-1676.
26. Terman D., Kopell N., Bose A. Dynamics of two neurons coupled by mutual slow inhibition. Physica D. 117:1998;241-275.
27. Chow C.C., Kopell N. Dynamics of spiking neurons with electrical coupling. Neural Comp. 12:2000;1643-1678.
28. Alvarez-Maubecin V., Chow C.C., van Bockstaele V.J., Williams J.T. Frequency-dependent synchrony in locus coeruleus: role of electrotonic coupling. Proc. Natl. Acad. Sci. USA. 99:2002;4032-4403.